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QUESTION IMAGE

this series of problems will build your fluency with classifying associ…

Question

this series of problems will build your fluency with classifying associative trends. for each question below, name the association and its strength.

  • use the answer key to determine that you accurately labeled each scatter plot.
  • if necessary, revise your work.

label each graph with its association and strength.
1.
scatter plots labeled a, b, c, d, e, f, g are shown, with a, b, d, e, f having apparent linear trends and c, g having more scattered or no clear trends

Explanation:

Response

To solve this, we analyze each scatter plot for direction (positive/negative) and strength (strong/moderate/weak/no association):

Graph A
  • Association: Positive (as x increases, y increases).
  • Strength: Strong (points lie very close to a straight line).
Graph B
  • Association: Positive (x and y increase together).
  • Strength: Moderate (points follow a trend but with slight scatter).
Graph C
  • Association: Positive (upward trend).
  • Strength: Weak (points show a trend but are more scattered).
Graph D
  • Association: Negative (as x increases, y decreases).
  • Strength: Strong (points lie close to a straight line).
Graph E
  • Association: Negative (x increases, y decreases).
  • Strength: Moderate (trend is clear but with some scatter).
Graph F
  • Association: Negative (downward trend).
  • Strength: Weak (points are scattered but show a trend).
Graph G
  • Association: No association (points are randomly scattered, no clear trend).
  • Strength: No association (or "weak" in the context of no trend).
Final Answers (per graph):
  • A: Positive, Strong
  • B: Positive, Moderate
  • C: Positive, Weak
  • D: Negative, Strong
  • E: Negative, Moderate
  • F: Negative, Weak
  • G: No Association, No Strength (or "Weak" for no trend)

Answer:

To solve this, we analyze each scatter plot for direction (positive/negative) and strength (strong/moderate/weak/no association):

Graph A
  • Association: Positive (as x increases, y increases).
  • Strength: Strong (points lie very close to a straight line).
Graph B
  • Association: Positive (x and y increase together).
  • Strength: Moderate (points follow a trend but with slight scatter).
Graph C
  • Association: Positive (upward trend).
  • Strength: Weak (points show a trend but are more scattered).
Graph D
  • Association: Negative (as x increases, y decreases).
  • Strength: Strong (points lie close to a straight line).
Graph E
  • Association: Negative (x increases, y decreases).
  • Strength: Moderate (trend is clear but with some scatter).
Graph F
  • Association: Negative (downward trend).
  • Strength: Weak (points are scattered but show a trend).
Graph G
  • Association: No association (points are randomly scattered, no clear trend).
  • Strength: No association (or "weak" in the context of no trend).
Final Answers (per graph):
  • A: Positive, Strong
  • B: Positive, Moderate
  • C: Positive, Weak
  • D: Negative, Strong
  • E: Negative, Moderate
  • F: Negative, Weak
  • G: No Association, No Strength (or "Weak" for no trend)